A manufacturer collects a sample of 30 bags of flour, measuring their weights in kilograms (kg). The mean weight in the sample is found to be 0.52 kg. Assume the population standard deviation is known to be 0.01 kg.

a) Construct a 90% confidence interval for the population mean weight of bags of flour.

b) Interpret your confidence interval.

c) Do NOT create another confidence interval to answer this question.

All else held the same, would a 95% confidence interval be the same width, narrower or wider than your 90% confidence interval in part a)?

Give your choice AND PLEASE EXPLAIN THE REASONS FOR YOUR CHOICE OF ANSWER HERE.